Li Lai

collaborators

2 papers

math.NT2025

A note on the number of irrational odd zeta values, II

Li Lai

We prove that there are at least $1.284 \cdot s / lo g s$ irrational numbers among $ζ (3)$ , $ζ (5)$ , $ζ (7)$ , $\dots$ , $ζ (s - 1)$ for any sufficiently large even integer $s$ . This…

math.NT2023

On the irrationality of certain $2$ -adic zeta values

Li Lai

Let $ζ_{2} (\cdot)$ be the Kubota-Leopoldt $2$ -adic zeta function. We prove that, for every nonnegative integer $s$ , there exists an odd integer $j$ in the interval $[s + 3, 3 s + 5]$ such…

A note on the number of irrational odd zeta values, II

On the irrationality of certain 2-adic zeta values

On the irrationality of certain $2$ -adic zeta values